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Finding the Fourth Proportional to 5,279.96, 7,922.64 and 1,995.14

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Solution

The fourth proportional to 5,279.96, 7,922.64 and 1,995.14 is: 2,993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.96 : 7,922.64 = 1,995.14 : x
  2. Step 2: Convert to fraction form
    5,279.96/7,922.64 = 1,995.14/x
  3. Step 3: Cross multiply
    5,279.96x = 7,922.64 × 1,995.14
  4. Step 4: Simplify right side
    5,279.96x = 15,806,775.97
  5. Step 5: Solve for x
    x = 15,806,775.97/5,279.96
  6. Step 6: Final answer
    x = 2,993.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.